Introduction
I have a passion for sincerely taking care of college students. And my research work in computational applied mathematics supports my students to build up their mathematical background solid.
I have demonstrated my teaching skill for more than ten years of teaching experience from low level to an advanced course in mathematics and statistics. I emphasize interdisciplinary content, a practical application using a programming language, and project-based learning in the classroom. I have continuously designed new but unique course contents aiming the convergence: especially the integration of mathematics, computer science, and engineering to prepare my students well amid the rapid change to the 4th industrial revolution.
(Scholarly Activity)
My research field is computational applied mathematics. Specifically, I have researched Isogeometric analysis and generalized finite element methods to deal with
● elliptic boundary value problems containing singularities,
● Reissner-Mindlin plate model with boundary layer effects,
● elasticity problems containing cracks and singularities in fracture mechanics,
● fourth-order partial differential equations containing singularities.
And then I worked on designing efficient numerical algorithms for solving Fractional-order Differential Equations(FDEs) and Fractional Dynamical Systems(FDSs) such as
● fractional-order initial value problems
● nonlinear time fractional-order partial differential equations
● two-point fractional-order nonlinear boundary value problems with Robin boundary conditions
Now, I laser-focus on the following numerical methods to deal with time-fractional convection-diffusion equations and time-fractional fourth-order PDEs whose solutions have an exotic behavior due to either the characteristic of solution or geometric configuration (1) application of the fast algorithm to the partition of unity Petrov-Galerkin method, (2) mapping techniques for collocation method, (3) meshless methods based on the partition of unity for solving time-fractional fourth-order PDEs, (4) enriched collocation method by mapping methods and meshless Methods.
Department of Energy Engineering, Korea Institute of Energy Technology